See John Russell's post in this forum. This might be the one you are after. Excerpt from the post below:
"On June 10, a-month before the expiration of its term of
enlistment, it was mustered into the three years' service, and on Sept. 18, was made the 1st artillery, under which its subsequent history will be found.
Source: The Union Army, vol. 4, p. 257"